Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #17986349 | C2 | semidirect |
| 3. #17986337 | C2 | semidirect |
| 4. #17986294 | C2 | semidirect |
| 5. #17986247 | C2 | semidirect |
| 6. #17986201 | C2 | semidirect |
| 7. #17986138 | C2 | semidirect |
| 8. C4×#11765852 | C2 | semidirect |
| 9. #17986077 | C2 | semidirect |
| 10. #17986008 | C2 | semidirect |
| 11. D4×Q8×C71 | C2 | semidirect |
| 127. C71 | #3329 | semidirect |
| 129. D4×Q8 | D71 | semidirect |